An Operator Theory of Parametric Programming for the Generalized Transportation Problem. IV. Global Operators.
Abstract
The paper investigates the effect of the optimal solution of a (capacitated) generalized transportation problem when the data of the problem (the rim conditions -- i.e., the available time of machine types and demands of product types, the per unit production costs, the per unit production time and the upper bounds) are continuously varied as a linear function of a single parameter. Operators that effect the transformation of optimal solution associated with such data changes, are shown to be a product of basis preserving operators (described in our earlier papers) that operate on a sequence of adjacent basis structures. Algorithms are furnished for the three types of operators -- rim, cost and weight. The paper concludes with a discussion of the production and managerial interpretations of the operators and a comment on the production paradox. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1973
- Accession Number
- AD0763923
Entities
People
- Gerald L. Thompson
- V. Galachandran
Organizations
- Carnegie Mellon University